Signal Characteristics

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "Signal Characteristics"

Transcription

1 Signal Characerisics Analog Signals Analog signals are always coninuous (here are no ime gaps). The signal is of infinie resoluion. Discree Time Signals SignalCharacerisics.docx 8/28/08 10:41 AM Page 1

2 Discree Time Signals: Informaion abou he signal magniude is available only a discree poins in ime r Discree daa Sampling: The process of obaining discreized informaion from a coninuous variable a finie ime inervals. SignalCharacerisics.docx 8/28/08 10:41 AM Page 2

3 SignalCharacerisics.docx 8/28/08 10:41 AM Page 3

4 SignalCharacerisics.docx 8/28/08 10:41 AM Page 4

5 SignalCharacerisics.docx 8/28/08 10:41 AM Page 5

6 SignalCharacerisics.docx 8/28/08 10:41 AM Page 6

7 y() y() y() Characerizaion of Signals A - Deerminisic B Random (sochasic) 1. Saic Dynamic a. Simple periodic waveform b. Complex periodic waveform SignalCharacerisics.docx 8/28/08 10:41 AM Page 7

8 y() y() y() A Deerminisic (con) 2. Dynamic (con) c. Aperiodic waveform Sep Ramp Pulse SignalCharacerisics.docx 8/28/08 10:41 AM Page 8

9 B Random (sochasic) Characerizaion of Signals 1 () y SignalCharacerisics.docx 8/28/08 10:41 AM Page 9

10 Signal Characerisics: Definiions Magniude - generally refers o he maximum value of a signal Range - difference beween maximum and minimum values of a signal Ampliude - indicaive of signal flucuaions relaive o he mean Frequency - describes he ime variaion of a signal Dynamic - signal is ime varying Saic - signal does no change over he ime period of ineres Deerminisic - signal can be described by an equaion (oher han a Fourier series or inegral approximaion) Non-deerminisic - describes a signal which has no discernible paern of repeiion and canno be described by a simple equaion. Mean - average or saic porion of a signal over he ime of ineres. Someimes call he dc componen or he dc offse of he signal [Excel ip: Mean = AVERAGE(numbers...)] RMS - roo-mean-square - average value of he square of he signal over he ime of ineres. [Excel ip: RMS = SQRT(SUMSQ(numbers 1 o n )/n)] SignalCharacerisics.docx 8/28/08 10:41 AM Page 10

11 Signal Analysis Average or Mean Value Provides a measure of he saic porion of a signal over a period of ime. y 1 2 y() d 1 2 d This is ofen referred o as he dc componen or dc offse. Flucuaing or AC Componen The dynamic porion of a signal, y, is characerized by he various measures of he magniude and he amoun of flucuaion. One such characerizaion is he rms value, or roo mean square. The flucuaing porion alone is ofen characerized by he a erm called he variance, 2, or he square roo of he variance he sandard deviaion,. Where, y', is he rue mean value of he signal. SignalCharacerisics.docx 8/28/08 10:41 AM Page 11

12 SignalCharacerisics.docx 8/28/08 10:41 AM Page 12

13 Digial Sampling Quanizaion: The runcaion of an analog signal o a finie resoluion. A/D Resoluion: is defined as he smalles volage incremen ha will cause he digial oupu o change (a change in he leas significan bi of he ADC oupu value) A/D Resoluion is a funcion of he ADC digial oupu word size and he analog inpu volage range. The inpu volage range, E FSR, is divided ino 2 M equal incremens where M is he number of bis in he ADC oupu word. Q = E FSR / 2 M Lab ADC: 12 bi digial oupu word size 20 Vol analog inpu range Variable inpu signal gain Gain: an signal amplificaion facor. If an inpu signal is amplified by a facor he effecive E FSR is changed. Q = E FSR /Gain/ 2 M Lab ADC: Q = 20V /Gain/ 2 12 SignalCharacerisics.docx 8/28/08 10:41 AM Page 13

14 Lab ADC Gain Values: 1, 2, 5, 10, 100 & 200 Lab ADC Example, gain=200: Q = 20V/200/4096 = V Example: E FSR = 4 V, M = 2, Q = 4/2 2 = 1V SignalCharacerisics.docx 8/28/08 10:41 AM Page 14

15 Quanizaion Error Error = (ADC Oupu - True Value)/True Value Example: From figure 7.7 if he inpu value is 1.5 wha is he percen error? Error = (1-1.5)/1.5 = -1/3 V or -33% Error can range from 0 o 1 vol or he e Q = Q Inpu volage shifing is used o minimize he error by adding a bias of Q/2. Think of his as a change from runcaion o rounding off. The error hen becomes e Q = ±½Q ADC Signal-o-noise raio: (SNR) relaes he power of he signal (Ohm's Law E 2 /R) o he power of he smalles signal change, Q, ha can be deeced E 2 /R2 M The recording indusry expresses he ADC SNR in decibels (db): SNR[dB] = 20 log 2 M SignalCharacerisics.docx 8/28/08 10:41 AM Page 15

16 Aliasing How rapidly do we need o sample a signal in order o accuraely describe i? The answer depends on he frequency conen of he signal. SignalCharacerisics.docx 8/28/08 10:41 AM Page 16

17 The sampling heorem provides he guideline. The sample rae mus be high enough o sample a leas wo poins per period of he highes frequency (sine wave) conained in he measured signal. SignalCharacerisics.docx 8/28/08 10:41 AM Page 17

18 If he sampling rae is oo low, aliasing will occur. Tha is, signals will be disored (Fig b,c) and may appear o have frequencies lower han heir acual value, as shown by Figure 6.32d 1, 7.2 2,3. Noice ha in he figure above i is impossible o disinguish beween he wo waveforms by sampling a he poins shown. As shown on p , 273 2,3 he maximum frequency componen which can be accuraely measured is he Nyquis frequency: f N f s = = 1 2,3 (6.63, 7.8 ) where δ is he sampling inerval. The A/D converers in he lab have a maximum sampling rae of approximaely 100,000 Hz wih he sofware we are using. Thus we can reproduce signals wih frequencies o abou 50,000 Hz. The converers have a resoluion of 12 bis, so he quanizaion error is 1 par in 2 12 or 1 par in 4096 of full scale. We will alk laer abou he elecronic circuis which are used. SignalCharacerisics.docx 8/28/08 10:41 AM Page 18

19 Figure 7.3 The folding diagram for alias frequencies. SignalCharacerisics.docx 8/28/08 10:41 AM Page 19

FROM ANALOG TO DIGITAL

FROM ANALOG TO DIGITAL FROM ANALOG TO DIGITAL OBJECTIVES The objecives of his lecure are o: Inroduce sampling, he Nyquis Limi (Shannon s Sampling Theorem) and represenaion of signals in he frequency domain Inroduce basic conceps

More information

Lecture #7: Discrete-time Signals and Sampling

Lecture #7: Discrete-time Signals and Sampling EEL335: Discree-Time Signals and Sysems Lecure #7: Discree-ime Signals and Sampling. Inroducion Lecure #7: Discree-ime Signals and Sampling Unlike coninuous-ime signals, discree-ime signals have defined

More information

MEASUREMENTS OF VARYING VOLTAGES

MEASUREMENTS OF VARYING VOLTAGES MEASUREMENTS OF ARYING OLTAGES Measuremens of varying volages are commonly done wih an oscilloscope. The oscilloscope displays a plo (graph) of volage versus imes. This is done by deflecing a sream of

More information

ELEG 3124 SYSTEMS AND SIGNALS Ch. 1 Continuous-Time Signals

ELEG 3124 SYSTEMS AND SIGNALS Ch. 1 Continuous-Time Signals Deparmen of Elecrical Engineering Universiy of Arkansas ELEG 3124 SYSTEMS AND SIGNALS Ch. 1 Coninuous-Time Signals Dr. Jingxian Wu wuj@uark.edu OUTLINE 2 Inroducion: wha are signals and sysems? Signals

More information

Memorandum on Impulse Winding Tester

Memorandum on Impulse Winding Tester Memorandum on Impulse Winding Teser. Esimaion of Inducance by Impulse Response When he volage response is observed afer connecing an elecric charge sored up in he capaciy C o he coil L (including he inside

More information

Technology Trends & Issues in High-Speed Digital Systems

Technology Trends & Issues in High-Speed Digital Systems Deailed comparison of dynamic range beween a vecor nework analyzer and sampling oscilloscope based ime domain reflecomeer by normalizing measuremen ime Sho Okuyama Technology Trends & Issues in High-Speed

More information

Active Filters - 1. Active Filters - 2

Active Filters - 1. Active Filters - 2 PHY35 - Elecronics Laboraory, all Term (K rong) Acie ilers - By combining op-amps wih energy-sorage elemens, circuis can be designed o gie frequency-dependen op-amp responses Acie filers are hose ha use

More information

EXPERIMENT #4 AM MODULATOR AND POWER AMPLIFIER

EXPERIMENT #4 AM MODULATOR AND POWER AMPLIFIER EXPERIMENT #4 AM MODULATOR AND POWER AMPLIFIER INTRODUCTION: Being able o ransmi a radio frequency carrier across space is of no use unless we can place informaion or inelligence upon i. This las ransmier

More information

A1 K. 12V rms. 230V rms. 2 Full Wave Rectifier. Fig. 2.1: FWR with Transformer. Fig. 2.2: Transformer. Aim: To Design and setup a full wave rectifier.

A1 K. 12V rms. 230V rms. 2 Full Wave Rectifier. Fig. 2.1: FWR with Transformer. Fig. 2.2: Transformer. Aim: To Design and setup a full wave rectifier. 2 Full Wave Recifier Aim: To Design and seup a full wave recifier. Componens Required: Diode(1N4001)(4),Resisor 10k,Capacior 56uF,Breadboard,Power Supplies and CRO and ransformer 230V-12V RMS. + A1 K B1

More information

Communication Systems. Department of Electronics and Electrical Engineering

Communication Systems. Department of Electronics and Electrical Engineering COMM 704: Communicaion Lecure : Analog Mulipliers Dr Mohamed Abd El Ghany Dr. Mohamed Abd El Ghany, Mohamed.abdel-ghany@guc.edu.eg nroducion Nonlinear operaions on coninuous-valued analog signals are ofen

More information

Wrap Up. Fourier Transform Sampling, Modulation, Filtering Noise and the Digital Abstraction Binary signaling model and Shannon Capacity

Wrap Up. Fourier Transform Sampling, Modulation, Filtering Noise and the Digital Abstraction Binary signaling model and Shannon Capacity Wrap Up Fourier ransorm Sampling, Modulaion, Filering Noise and he Digial Absracion Binary signaling model and Shannon Capaciy Copyrigh 27 by M.H. Perro All righs reserved. M.H. Perro 27 Wrap Up, Slide

More information

Notes on the Fourier Transform

Notes on the Fourier Transform Noes on he Fourier Transform The Fourier ransform is a mahemaical mehod for describing a coninuous funcion as a series of sine and cosine funcions. The Fourier Transform is produced by applying a series

More information

Chapter 4: Angle Modulation

Chapter 4: Angle Modulation Tes 2 Review Tes 2 Review Professor Deepa Kundur Universiy of Torono Reference: Secions: 4.1, 4.2, 4.3, 4.4, 4.6, 4.7, 4.8 of 5.1, 5.2, 5.3, 5.4, 5.5 6.1, 6.2, 6.3, 6.4, 6.5, 6.6 S. Haykin and M. Moher,

More information

Chapter 4: Angle Modulation

Chapter 4: Angle Modulation Tes 2 Review Tes 2 Review Professor Deepa Kundur Universiy of Torono Reference: Secions: 4.1, 4.2, 4.3, 4.4, 4.6, 4.7, 4.8 of 5.1, 5.2, 5.3, 5.4, 5.5 6.1, 6.2, 6.3, 6.4, 6.5, 6.6 S. Haykin and M. Moher,

More information

f t 2cos 2 Modulator Figure 21: DSB-SC modulation.

f t 2cos 2 Modulator Figure 21: DSB-SC modulation. 4.5 Ampliude modulaion: AM 4.55. DSB-SC ampliude modulaion (which is summarized in Figure 21) is easy o undersand and analyze in boh ime and frequency domains. However, analyical simpliciy is no always

More information

EE 330 Lecture 24. Amplification with Transistor Circuits Small Signal Modelling

EE 330 Lecture 24. Amplification with Transistor Circuits Small Signal Modelling EE 330 Lecure 24 Amplificaion wih Transisor Circuis Small Signal Modelling Review from las ime Area Comparison beween BJT and MOSFET BJT Area = 3600 l 2 n-channel MOSFET Area = 168 l 2 Area Raio = 21:1

More information

Chapter 2 Introduction: From Phase-Locked Loop to Costas Loop

Chapter 2 Introduction: From Phase-Locked Loop to Costas Loop Chaper 2 Inroducion: From Phase-Locked Loop o Cosas Loop The Cosas loop can be considered an exended version of he phase-locked loop (PLL). The PLL has been invened in 932 by French engineer Henri de Belleszice

More information

Power losses in pulsed voltage source inverters/rectifiers with sinusoidal currents

Power losses in pulsed voltage source inverters/rectifiers with sinusoidal currents ree-wheeling diode Turn-off power dissipaion: off/d = f s * E off/d (v d, i LL, T j/d ) orward power dissipaion: fw/t = 1 T T 1 v () i () d Neglecing he load curren ripple will resul in: fw/d = i Lavg

More information

Chapter 2 Summary: Continuous-Wave Modulation. Belkacem Derras

Chapter 2 Summary: Continuous-Wave Modulation. Belkacem Derras ECEN 44 Communicaion Theory Chaper Summary: Coninuous-Wave Modulaion.1 Modulaion Modulaion is a process in which a parameer of a carrier waveform is varied in accordance wih a given message (baseband)

More information

Communication Systems. Communication Systems

Communication Systems. Communication Systems Communicaion Sysems Analog communicaion Transmi and receive analog waveforms Ampliude Modulaion (AM Phase Modulaion (PM Freq. Modulaion (FM Quadraure Ampliude Modulaion (QAM Pulse Ampliude Modulaion (PAM

More information

EXPERIMENT #9 FIBER OPTIC COMMUNICATIONS LINK

EXPERIMENT #9 FIBER OPTIC COMMUNICATIONS LINK EXPERIMENT #9 FIBER OPTIC COMMUNICATIONS LINK INTRODUCTION: Much of daa communicaions is concerned wih sending digial informaion hrough sysems ha normally only pass analog signals. A elephone line is such

More information

P. Bruschi: Project guidelines PSM Project guidelines.

P. Bruschi: Project guidelines PSM Project guidelines. Projec guidelines. 1. Rules for he execuion of he projecs Projecs are opional. Their aim is o improve he sudens knowledge of he basic full-cusom design flow. The final score of he exam is no affeced by

More information

EECE 301 Signals & Systems Prof. Mark Fowler

EECE 301 Signals & Systems Prof. Mark Fowler EECE 3 Signals & Sysems Prof. Mark Fowler Noe Se #8 C-T Sysems: Frequency-Domain Analysis of Sysems Reading Assignmen: Secion 5.2 of Kamen and Heck /2 Course Flow Diagram The arrows here show concepual

More information

6.003: Signals and Systems

6.003: Signals and Systems 6.3: Signals and Sysems Lecure 4 March 3, 6.3: Signals and Sysems Fourier Represenaions Mid-erm Examinaion # Wednesday, April 7, 7:3-9:3pm. No reciaions on he day of he exam. Coverage: Lecures 5 Reciaions

More information

Signal detection, Fouriertransformation, phase correction and quadrature detection

Signal detection, Fouriertransformation, phase correction and quadrature detection 2/35 Signal deecion, Fourierransformaion, phase correcion and quadraure deecion Peer Schmieder Schmilka 2004 Wha is his seminar abou? Signaldeecion Wha kind of signal do we deec in NMR Fourierransformaion

More information

Revision: June 11, E Main Suite D Pullman, WA (509) Voice and Fax

Revision: June 11, E Main Suite D Pullman, WA (509) Voice and Fax 2.5.3: Sinusoidal Signals and Complex Exponenials Revision: June 11, 2010 215 E Main Suie D Pullman, W 99163 (509) 334 6306 Voice and Fax Overview Sinusoidal signals and complex exponenials are exremely

More information

LECTURE 1 CMOS PHASE LOCKED LOOPS

LECTURE 1 CMOS PHASE LOCKED LOOPS Lecure 01 (8/9/18) Page 1-1 Objecive LECTURE 1 CMOS PHASE LOCKED LOOPS OVERVIEW Undersand he principles and applicaions of phase locked loops using inegraed circui echnology wih emphasis on CMOS echnology.

More information

ANALOG AND DIGITAL SIGNAL PROCESSING LABORATORY EXPERIMENTS : CHAPTER 3

ANALOG AND DIGITAL SIGNAL PROCESSING LABORATORY EXPERIMENTS : CHAPTER 3 Laboraory # Chap 3 Objecives Linear Sysem Response: general case Undersand he difference and he relaionship beween a sep and impulse response. Deermine he limis of validiy of an approximaed impulse response.

More information

Experiment 6: Transmission Line Pulse Response

Experiment 6: Transmission Line Pulse Response Eperimen 6: Transmission Line Pulse Response Lossless Disribued Neworks When he ime required for a pulse signal o raverse a circui is on he order of he rise or fall ime of he pulse, i is no longer possible

More information

EECE 301 Signals & Systems Prof. Mark Fowler

EECE 301 Signals & Systems Prof. Mark Fowler EECE 301 s & Sysems Prof. Mark Fowler Noe Se #1 Wha is s & Sysems all abou??? 1/9 Do All EE s & CoE s Design Circuis? No!!!! Someone has o figure ou wha funcion hose circuis need o do Someone also needs

More information

Problem Sheet: Communication Channels Communication Systems

Problem Sheet: Communication Channels Communication Systems Problem Shee: Communicaion Channels Communicaion Sysems Professor A. Manikas Chair of Communicaions and Array Processing Deparmen of Elecrical & Elecronic Engineering Imperial College London v.11 Communicaion

More information

Lecture 4. EITN Chapter 12, 13 Modulation and diversity. Antenna noise is usually given as a noise temperature!

Lecture 4. EITN Chapter 12, 13 Modulation and diversity. Antenna noise is usually given as a noise temperature! Lecure 4 EITN75 2018 Chaper 12, 13 Modulaion and diversiy Receiver noise: repeiion Anenna noise is usually given as a noise emperaure! Noise facors or noise figures of differen sysem componens are deermined

More information

Digital Communications - Overview

Digital Communications - Overview EE573 : Advanced Digial Communicaions Digial Communicaions - Overview Lecurer: Assoc. Prof. Dr Noor M Khan Deparmen of Elecronic Engineering, Muhammad Ali Jinnah Universiy, Islamabad Campus, Islamabad,

More information

Table of Contents. 3.0 SMPS Topologies. For Further Research. 3.1 Basic Components. 3.2 Buck (Step Down) 3.3 Boost (Step Up) 3.4 Inverter (Buck/Boost)

Table of Contents. 3.0 SMPS Topologies. For Further Research. 3.1 Basic Components. 3.2 Buck (Step Down) 3.3 Boost (Step Up) 3.4 Inverter (Buck/Boost) Table of Conens 3.0 SMPS Topologies 3.1 Basic Componens 3.2 Buck (Sep Down) 3.3 Boos (Sep Up) 3.4 nverer (Buck/Boos) 3.5 Flyback Converer 3.6 Curren Boosed Boos 3.7 Curren Boosed Buck 3.8 Forward Converer

More information

Sound. Audio DSP. Sinusoids and Sound: Amplitude. Sound Volume

Sound. Audio DSP. Sinusoids and Sound: Amplitude. Sound Volume Sound Ampliude and Loudness Audio DSP Dr. Deepa Kundur Universiy of Torono Sound: vibraion ransmied hrough a medium (gas, liquid, solid and plasma) composed of frequencies capable of being deeced by ears.

More information

ADC Modeling for System Simulation

ADC Modeling for System Simulation Linköping Sudies in Science and Technology Thesis No. 07 ADC Modeling for Sysem Simulaion Kalle Folkesson LiU-TEK-LIC-003:6 Deparmen of Elecrical Engineering Linköpings universie, SE-58 83 Linköping, Sweden

More information

Lecture 11. Digital Transmission Fundamentals

Lecture 11. Digital Transmission Fundamentals CS4/MSc Compuer Neworking Lecure 11 Digial Transmission Fundamenals Compuer Neworking, Copyrigh Universiy of Edinburgh 2005 Digial Transmission Fundamenals Neworks consruced ou of Links or ransmission

More information

OpenStax-CNX module: m Elemental Signals. Don Johnson. Perhaps the most common real-valued signal is the sinusoid.

OpenStax-CNX module: m Elemental Signals. Don Johnson. Perhaps the most common real-valued signal is the sinusoid. OpenSax-CNX module: m0004 Elemenal Signals Don Johnson This work is produced by OpenSax-CNX and licensed under he Creaive Commons Aribuion License.0 Absrac Complex signals can be buil from elemenal signals,

More information

Sound. Audio DSP. Sound Volume. Sinusoids and Sound: Amplitude

Sound. Audio DSP. Sound Volume. Sinusoids and Sound: Amplitude Sound Ampliude and Loudness Audio DSP Professor Deepa Kundur Universiy of Torono Sound: vibraion ransmied hrough a medium (gas, liquid, solid and plasma) composed of frequencies capable of being deeced

More information

4 20mA Interface-IC AM462 for industrial µ-processor applications

4 20mA Interface-IC AM462 for industrial µ-processor applications Because of he grea number of indusrial buses now available he majoriy of indusrial measuremen echnology applicaions sill calls for he sandard analog curren nework. The reason for his lies in he fac ha

More information

Diodes. Diodes, Page 1

Diodes. Diodes, Page 1 Diodes, Page 1 Diodes V-I Characerisics signal diode Measure he volage-curren characerisic of a sandard signal diode, he 1N914, using he circui shown below. The purpose of he back-o-back power supplies

More information

Estimating Transfer Functions with SigLab

Estimating Transfer Functions with SigLab APPLICATION NOTE Esimaing Transfer Funcions wih SigLab Accurae ransfer funcion esimaion of linear, noise-free, dynamic sysems is an easy ask for DSPT SigLab. Ofen, however, he sysem being analyzed is noisy

More information

Lecture 5: DC-DC Conversion

Lecture 5: DC-DC Conversion 1 / 31 Lecure 5: DC-DC Conversion ELEC-E845 Elecric Drives (5 ECTS) Mikko Rouimo (lecurer), Marko Hinkkanen (slides) Auumn 217 2 / 31 Learning Oucomes Afer his lecure and exercises you will be able o:

More information

ECE3204 Microelectronics II Bitar / McNeill. ECE 3204 / Term D-2017 Problem Set 7

ECE3204 Microelectronics II Bitar / McNeill. ECE 3204 / Term D-2017 Problem Set 7 EE3204 Microelecronics II Biar / McNeill Due: Monday, May 1, 2017 EE 3204 / Term D-2017 Problem Se 7 All ex problems from Sedra and Smih, Microelecronic ircuis, 7h ediion. NOTES: Be sure your NAME and

More information

THE OSCILLOSCOPE AND NOISE. Objectives:

THE OSCILLOSCOPE AND NOISE. Objectives: -26- Preparaory Quesions. Go o he Web page hp://www.ek.com/measuremen/app_noes/xyzs/ and read a leas he firs four subsecions of he secion on Trigger Conrols (which iself is a subsecion of he secion The

More information

13.1 Analog/Digital Lowpass Butterworth Filter

13.1 Analog/Digital Lowpass Butterworth Filter CHAPTER 3 IIR FILTER DESIGN 3. Analog/Digial Lowpass Buerworh Filer This docuen designs a lowpass digial IIR filer of he Buerworh ype. A bilinear ransforaion is perfored o creae a digial filer fro he analog

More information

MET 487 Instrumentation and Automatic Control. Topics of Discussion

MET 487 Instrumentation and Automatic Control. Topics of Discussion MET 487 Insrumenaion and Auomaic onrol Sysem Response Paul I-Hai I Lin, Professor Elecrical and ompuer Engineering Technology Purdue Universiy For Wayne ampus Tex Book: Inro o Mecharonics and Measuremen

More information

Analog/Digital Communications Primer

Analog/Digital Communications Primer for Amaeur Radio Virginia Polyechnic Insiue & Sae Universiy March 19, 2013 # include //... in main() { floa kf = 0.1f; // modulaion facor liquid_freqdem_ype ype = LIQUID_FREQDEM_DELAYCONJ;

More information

ECMA-373. Near Field Communication Wired Interface (NFC-WI) 2 nd Edition / June Reference number ECMA-123:2009

ECMA-373. Near Field Communication Wired Interface (NFC-WI) 2 nd Edition / June Reference number ECMA-123:2009 ECMA-373 2 nd Ediion / June 2012 Near Field Communicaion Wired Inerface (NFC-WI) Reference number ECMA-123:2009 Ecma Inernaional 2009 COPYRIGHT PROTECTED DOCUMENT Ecma Inernaional 2012 Conens Page 1 Scope...

More information

t 2 (x(t)-y(t)) 2 dt. Similarly, for discrete-time signals x[n] and y[n], the difference energy over the time interval [n 1,n 2 ] is n 2 (x[n]-y[n])

t 2 (x(t)-y(t)) 2 dt. Similarly, for discrete-time signals x[n] and y[n], the difference energy over the time interval [n 1,n 2 ] is n 2 (x[n]-y[n]) EECS 6 III. Signal Similariy Measures In many siuaions, we need a quaniaive measure of he similariy of wo signals. For eample, suppose () is he signal some sysem should ideally produce, y() is he signal

More information

4.5 Biasing in BJT Amplifier Circuits

4.5 Biasing in BJT Amplifier Circuits 4/5/011 secion 4_5 Biasing in MOS Amplifier Circuis 1/ 4.5 Biasing in BJT Amplifier Circuis eading Assignmen: 8086 Now le s examine how we C bias MOSFETs amplifiers! f we don bias properly, disorion can

More information

16.5 ADDITIONAL EXAMPLES

16.5 ADDITIONAL EXAMPLES 16.5 ADDITIONAL EXAMPLES For reiew purposes, more examples of boh piecewise linear and incremenal analysis are gien in he following subsecions. No new maerial is presened, so readers who do no need addiional

More information

Analog Baseband Communication Systems. Digital Baseband Communication Systems

Analog Baseband Communication Systems. Digital Baseband Communication Systems EE 421: Communicaions I Dr. Mohammed Hawa Inroducion o Digial Baseband Communicaion Sysems For more informaion: read Chapers 1, 6 and 7 in your exbook or visi hp://wikipedia.org/. Remember ha communicaion

More information

ECMA st Edition / June Near Field Communication Wired Interface (NFC-WI)

ECMA st Edition / June Near Field Communication Wired Interface (NFC-WI) ECMA-373 1 s Ediion / June 2006 Near Field Communicaion Wired Inerface (NFC-WI) Sandard ECMA-373 1 s Ediion / June 2006 Near Field Communicaion Wired Inerface (NFC-WI) Ecma Inernaional Rue du Rhône 114

More information

Analog Circuits EC / EE / IN. For

Analog Circuits EC / EE / IN.   For Analog Circuis For EC / EE / IN By www.hegaeacademy.com Syllabus Syllabus for Analog Circuis Small Signal Equivalen Circuis of Diodes, BJTs, MOSFETs and Analog CMOS. Simple Diode Circuis, Clipping, Clamping,

More information

Signals and the frequency domain ENGR 40M lecture notes July 31, 2017 Chuan-Zheng Lee, Stanford University

Signals and the frequency domain ENGR 40M lecture notes July 31, 2017 Chuan-Zheng Lee, Stanford University Signals and he requency domain ENGR 40M lecure noes July 3, 07 Chuan-Zheng Lee, Sanord Universiy signal is a uncion, in he mahemaical sense, normally a uncion o ime. We oen reer o uncions as signals o

More information

CHAPTER CONTENTS. Notes. 9.0 Line Coding. 9.1 Binary Line Codes

CHAPTER CONTENTS. Notes. 9.0 Line Coding. 9.1 Binary Line Codes Noes CHAPTER CONTENTS 9. Line Coding 9. inary Line Codes 9. ipolar and iphase Line Codes 9.. AMI 9... inary N Zero Subsiuion 9..3 lock Line Codes 9.3 M-ary Correlaion Codes 9.3. Q 9.3. Correlaion Coding

More information

Industrial, High Repetition Rate Picosecond Laser

Industrial, High Repetition Rate Picosecond Laser RAPID Indusrial, High Repeiion Rae Picosecond Laser High Power: RAPID is a very cos efficien, compac, diode pumped Nd:YVO4 picosecond laser wih 2 W average power a 1064 nm. Is 10 ps-pulses have high pulse

More information

AN5028 Application note

AN5028 Application note Applicaion noe Calculaion of urn-off power losses generaed by an ulrafas diode Inroducion This applicaion noe explains how o calculae urn-off power losses generaed by an ulrafas diode, by aking ino accoun

More information

USING MATLAB TO CREATE AN IMAGE FROM RADAR

USING MATLAB TO CREATE AN IMAGE FROM RADAR USING MATLAB TO CREATE AN IMAGE FROM RADAR Douglas Hulber Mahemaics Deparmen Norfol Sae Universiy 700 Par Avenue Uni 483 Norfol VA 3504-8060 dhulber@nsu.edu Inroducion. Digial imaging algorihms developed

More information

Jitter Analysis of Current-Mode Logic Frequency Dividers

Jitter Analysis of Current-Mode Logic Frequency Dividers Universiy of California a Davis, Deparmen of Elecrical and Compuer Engineering Marko Aleksic Jier Analysis of Curren-Mode Logic Frequency Dividers Ph.D. Research Proposal able of Conens Secion : Inroducion

More information

DISCONTINUED MODEL Replaced with Model JPS3

DISCONTINUED MODEL Replaced with Model JPS3 Plug-in Signal Condiioners M-UNIT PUSE ADDER (field-programmable) MODE MODE & SUFFIX CODE SEECTI MODE A : Dry conac B :Volage pulse (Specify sensiiviy) C : V pulse (sensiiviy V) D : V/V pulse (sensiiviy

More information

EE 40 Final Project Basic Circuit

EE 40 Final Project Basic Circuit EE 0 Spring 2006 Final Projec EE 0 Final Projec Basic Circui Par I: General insrucion 1. The final projec will coun 0% of he lab grading, since i s going o ake lab sessions. All oher individual labs will

More information

10. The Series Resistor and Inductor Circuit

10. The Series Resistor and Inductor Circuit Elecronicsab.nb 1. he Series esisor and Inducor Circui Inroducion he las laboraory involved a resisor, and capacior, C in series wih a baery swich on or off. I was simpler, as a pracical maer, o replace

More information

weight: amplitude of sine curve

weight: amplitude of sine curve Joseph Fourier s claim: all signals are sums of sinusoids of differen frequencies. weighed sine curves weigh: ampliude of sine curve all : no exacly bu doesn maer for us in pracice Example: 3 sin() + sin(*)

More information

Full-Speed Testing of A/D Converters

Full-Speed Testing of A/D Converters 820 EEE JOURNAL OF SOLD-STATE CRCUTS, VOL. SC-19, NO. 6, DECEMBER 1984 Full-Speed Tesing of A/D Converers JOEY DOERNBERG, STUDENT MEMBER, EEE, HAE-SEUNG LEE, STUDENT MEMBER, EEE, AND DAVD A. HODGES, FELLOW,

More information

Timing Skew Compensation Technique Using Digital Filter with Novel Linear Phase Condition

Timing Skew Compensation Technique Using Digital Filter with Novel Linear Phase Condition Timing Skew Compensaion Technique Using Digial Filer wih Novel Linear Phase Condiion Koji Asami Advanes Corporaion Hiroyuki Miyajima, uyoshi Kurosawa, Takenori Taeiwa, Haruo Kobayashi Gunma Universiy 1

More information

MODELING OF CROSS-REGULATION IN MULTIPLE-OUTPUT FLYBACK CONVERTERS

MODELING OF CROSS-REGULATION IN MULTIPLE-OUTPUT FLYBACK CONVERTERS MODELING OF CROSS-REGULATION IN MULTIPLE-OUTPUT FLYBACK CONVERTERS Dragan Maksimovićand Rober Erickson Colorado Power Elecronics Cener Deparmen of Elecrical and Compuer Engineering Universiy of Colorado,

More information

Phase-Shifting Control of Double Pulse in Harmonic Elimination Wei Peng1, a*, Junhong Zhang1, Jianxin gao1, b, Guangyi Li1, c

Phase-Shifting Control of Double Pulse in Harmonic Elimination Wei Peng1, a*, Junhong Zhang1, Jianxin gao1, b, Guangyi Li1, c Inernaional Symposium on Mechanical Engineering and Maerial Science (ISMEMS 016 Phase-Shifing Conrol of Double Pulse in Harmonic Eliminaion Wei Peng1, a*, Junhong Zhang1, Jianxin gao1, b, Guangyi i1, c

More information

Test 1 Review. Test 1 Review. Communication Systems: Foundational Theories. Communication System. Reference: Sections and

Test 1 Review. Test 1 Review. Communication Systems: Foundational Theories. Communication System. Reference: Sections and Tes 1 Review Tes 1 Review Proessor Deepa Kundur Universiy o Torono Reerence: Secions 2.2-2.7 and 3.1-3.6 o S. Haykin and M. Moher, Inroducion o Analog & Digial Communicaions, 2nd ed., John iley & Sons,

More information

Chapter 1: Introduction

Chapter 1: Introduction Second ediion ober W. Erickson Dragan Maksimovic Universiy of Colorado, Boulder.. Inroducion o power processing.. Some applicaions of power elecronics.3. Elemens of power elecronics Summary of he course.

More information

Dead Zone Compensation Method of H-Bridge Inverter Series Structure

Dead Zone Compensation Method of H-Bridge Inverter Series Structure nd Inernaional Conference on Elecrical, Auomaion and Mechanical Engineering (EAME 7) Dead Zone Compensaion Mehod of H-Bridge Inverer Series Srucure Wei Li Insiue of Elecrical Engineering and Informaion

More information

AK8777B. Overview. Features

AK8777B. Overview. Features AK8777B Hall Effec IC for Pulse Encoders Overview The AK8777B is a Hall effec lach which deecs boh verical and horizonal (perpendicular and parallel o he marking side of he package) magneic field a he

More information

Double Tangent Sampling Method for Sinusoidal Pulse Width Modulation

Double Tangent Sampling Method for Sinusoidal Pulse Width Modulation Compuaional and Applied Mahemaics Journal 2018; 4(1): 8-14 hp://www.aasci.org/journal/camj ISS: 2381-1218 (Prin); ISS: 2381-1226 (Online) Double Tangen Sampling Mehod for Sinusoidal Pulse Widh Modulaion

More information

Communications II Lecture 7: Performance of digital modulation

Communications II Lecture 7: Performance of digital modulation Communicaions II Lecure 7: Performance of digial modulaion Professor Kin K. Leung EEE and Compuing Deparmens Imperial College London Copyrigh reserved Ouline Digial modulaion and demodulaion Error probabiliy

More information

EECS 380: Wireless Communications Weeks 5-6

EECS 380: Wireless Communications Weeks 5-6 EECS 380: Wireless Communicaions Weeks 5-6 Michael L. Honig Norhwesern Universiy April 2018 1 Why Digial Communicaions? 1G (analog) à 2G (digial) à 3G (digial) Digiized voice requires abou 64 kbps, herefore

More information

Square Waves, Sinusoids and Gaussian White Noise: A Matching Pursuit Conundrum? Don Percival

Square Waves, Sinusoids and Gaussian White Noise: A Matching Pursuit Conundrum? Don Percival Square Waves, Sinusoids and Gaussian Whie Noise: A Maching Pursui Conundrum? Don Percival Applied Physics Laboraory Deparmen of Saisics Universiy of Washingon Seale, Washingon, USA hp://faculy.washingon.edu/dbp

More information

Increasing Measurement Accuracy via Corrective Filtering in Digital Signal Processing

Increasing Measurement Accuracy via Corrective Filtering in Digital Signal Processing ISSN(Online): 39-8753 ISSN (Prin): 347-67 Engineering and echnology (An ISO 397: 7 Cerified Organizaion) Vol. 6, Issue 5, ay 7 Increasing easuremen Accuracy via Correcive Filering in Digial Signal Processing

More information

Spring Localization I. Roland Siegwart, Margarita Chli, Martin Rufli. ASL Autonomous Systems Lab. Autonomous Mobile Robots

Spring Localization I. Roland Siegwart, Margarita Chli, Martin Rufli. ASL Autonomous Systems Lab. Autonomous Mobile Robots Spring 2017 Localizaion I Localizaion I 10.04.2017 1 2 ASL Auonomous Sysems Lab knowledge, daa base mission commands Localizaion Map Building environmen model local map posiion global map Cogniion Pah

More information

DATA SHEET. 1N914; 1N916 High-speed diodes DISCRETE SEMICONDUCTORS Sep 03

DATA SHEET. 1N914; 1N916 High-speed diodes DISCRETE SEMICONDUCTORS Sep 03 DISCRETE SEMICONDUCTORS DATA SHEET M3D176 Supersedes daa of April 1996 File under Discree Semiconducors, SC01 1996 Sep 03 FEATURES Hermeically sealed leaded glass SOD27 (DO-35) package High swiching speed:

More information

Polytech Montpellier MEA M2 EEA Systèmes Microélectroniques. Advanced Analog IC Design

Polytech Montpellier MEA M2 EEA Systèmes Microélectroniques. Advanced Analog IC Design Polyech Monpellier MEA M EEA Sysèmes Microélecroniques Adanced Analog IC Design Chaper I Inroducion Pascal Noue / 013-014 noue@lirmm.fr hp://www.lirmm.fr/~noue/homepage/lecure_ressources.hml Ouline of

More information

Pulse Train Controlled PCCM Buck-Boost Converter Ming Qina, Fangfang Lib

Pulse Train Controlled PCCM Buck-Boost Converter Ming Qina, Fangfang Lib 5h Inernaional Conference on Environmen, Maerials, Chemisry and Power Elecronics (EMCPE 016 Pulse Train Conrolled PCCM Buck-Boos Converer Ming Qina, Fangfang ib School of Elecrical Engineering, Zhengzhou

More information

Signals and communications fundamentals

Signals and communications fundamentals Signals and communicaions undamenals Luca Reggiani luca.reggiani@polimi.i hp://home.dei.polimi.i/reggiani/ Diparimeno di Eleronica, Inormazione e Bioingegneria Poliecnico di Milano Signals and communicaions

More information

Passband Data Transmission II References Frequency-shift keying Chapter 6.5, S. Haykin, Communication Systems, Wiley. H.1

Passband Data Transmission II References Frequency-shift keying Chapter 6.5, S. Haykin, Communication Systems, Wiley. H.1 Passand Daa ransmission II Reerences Frequency-shi keying Chaper 6.5, S. Haykin, Communicaion Sysems, Wiley. H. Inroducion Inroducion PSK and QAM are linear modulaion FSK is a nonlinear modulaion Similar

More information

UNIT IV DIGITAL MODULATION SCHEME

UNIT IV DIGITAL MODULATION SCHEME UNI IV DIGIAL MODULAION SCHEME Geomeric Represenaion of Signals Ojecive: o represen any se of M energy signals {s i (} as linear cominaions of N orhogonal asis funcions, where N M Real value energy signals

More information

M2 3 Introduction to Switching Regulators. 1. What is a switching power supply? 2. What types of switchers are available?

M2 3 Introduction to Switching Regulators. 1. What is a switching power supply? 2. What types of switchers are available? M2 3 Inroducion o Swiching Regulaors Objecive is o answerhe following quesions: 1. Wha is a swiching power supply? 2. Wha ypes of swichers are available? 3. Why is a swicher needed? 4. How does a swicher

More information

Principles of Communications

Principles of Communications Sae Key Lab. on ISN, Xidian Universiy Principles of Communicaions Chaper VI: Elemenary Digial Modulaion Sysem Email: ychwang@mail.xidian.edu.cn Xidian Universiy Sae Key Lab. on ISN December 13, 2013 Sae

More information

Performance Limitations of an Optical Heterodyne CPFSK Transmission System Affected by Polarization Mode Dispersion in a Single Mode Fiber

Performance Limitations of an Optical Heterodyne CPFSK Transmission System Affected by Polarization Mode Dispersion in a Single Mode Fiber Performance Limiaions of an Opical Heerodyne CPFSK Transmission Sysem Affeced by Polarizaion Mode Dispersion in a Single Mode Fiber M. S. Islam, Member, IEEE, and S. P. Majumder, Member, IEEE Absrac--A

More information

RITEC, Inc. 60 Alhambra Rd., Suite 5 Warwick, RI (401) FAX (401) Powerful Ultrasonic Research Tool. A Modular Approach

RITEC, Inc. 60 Alhambra Rd., Suite 5 Warwick, RI (401) FAX (401) Powerful Ultrasonic Research Tool. A Modular Approach RITEC RAM-5 Versaile Compuer Conrolled Ulrasonic Sysem: Modular Approach allows Cusomizaion o Specific Experimenal Requiremens. High Power RF Burs Oupus as high as 5 kilowas for frequencies o 7 MHz. Three

More information

Solid-state Timer H3CT

Solid-state Timer H3CT Solid-sae Timer H3CT DIN 48 x 48-mm Sandard Size Analog Timer Wide ime range (for 4 series of models); 0.1 s o 30 hrs. Wih H3CT-8H models, he oupu ype can be swiched beween ime limi DPDT and ime limi SPDT

More information

TELE4652 Mobile and Satellite Communications

TELE4652 Mobile and Satellite Communications TELE465 Mobile and Saellie Communicaions Assignmen (Due: 4pm, Monday 7 h Ocober) To be submied o he lecurer before he beginning of he final lecure o be held a his ime.. This quesion considers Minimum Shif

More information

Digital Encoding And Decoding

Digital Encoding And Decoding Digial Encoding And Decoding Dr. George W Benhien Augus 13, 2007 Revised March 30, 2010 E-mail: george@gbenhien.ne 1 Inroducion Many elecronic communicaion devices oday process and ransfer informaion digially.

More information

Answer Key for Week 3 Homework = 100 = 140 = 138

Answer Key for Week 3 Homework = 100 = 140 = 138 Econ 110D Fall 2009 K.D. Hoover Answer Key for Week 3 Homework Problem 4.1 a) Laspeyres price index in 2006 = 100 (1 20) + (0.75 20) Laspeyres price index in 2007 = 100 (0.75 20) + (0.5 20) 20 + 15 = 100

More information

Accurate Tunable-Gain 1/x Circuit Using Capacitor Charging Scheme

Accurate Tunable-Gain 1/x Circuit Using Capacitor Charging Scheme Accurae Tunable-Gain 1/x Circui Using Capacior Charging Scheme Byung-Do Yang and Seo Weon Heo This paper proposes an accurae unable-gain 1/x circui. The oupu volage of he 1/x circui is generaed by using

More information

Passband Data Transmission I References Phase-shift keying Chapter , S. Haykin, Communication Systems, Wiley. G.1

Passband Data Transmission I References Phase-shift keying Chapter , S. Haykin, Communication Systems, Wiley. G.1 Passand Daa ransmission I References Phase-shif keying Chaper 4.-4.3, S. Haykin, Communicaion Sysems, Wiley. G. Inroducion Inroducion In aseand pulse ransmission, a daa sream represened in he form of a

More information

March 13, 2009 CHAPTER 3: PARTIAL DERIVATIVES AND DIFFERENTIATION

March 13, 2009 CHAPTER 3: PARTIAL DERIVATIVES AND DIFFERENTIATION March 13, 2009 CHAPTER 3: PARTIAL DERIVATIVES AND DIFFERENTIATION 1. Parial Derivaives and Differeniable funcions In all his chaper, D will denoe an open subse of R n. Definiion 1.1. Consider a funcion

More information

Investigation and Simulation Model Results of High Density Wireless Power Harvesting and Transfer Method

Investigation and Simulation Model Results of High Density Wireless Power Harvesting and Transfer Method Invesigaion and Simulaion Model Resuls of High Densiy Wireless Power Harvesing and Transfer Mehod Jaber A. Abu Qahouq, Senior Member, IEEE, and Zhigang Dang The Universiy of Alabama Deparmen of Elecrical

More information